impl Matrix3x2 {
    pub const fn identity() -> Self {
        Self { M11: 1.0, M12: 0.0, M21: 0.0, M22: 1.0, M31: 0.0, M32: 0.0 }
    }
    pub const fn translation(x: f32, y: f32) -> Self {
        Self { M11: 1.0, M12: 0.0, M21: 0.0, M22: 1.0, M31: x, M32: y }
    }
    pub fn rotation(angle: f32, x: f32, y: f32) -> Self {
        #[repr(C)]
        pub struct D2D_POINT_2F {
            pub x: f32,
            pub y: f32,
        }
        ::windows_targets::link!("d2d1.dll" "system" fn D2D1MakeRotateMatrix(angle: f32, center: D2D_POINT_2F, matrix: *mut Matrix3x2) -> ());
        let mut matrix = Self::default();
        unsafe {
            D2D1MakeRotateMatrix(angle, D2D_POINT_2F { x, y }, &mut matrix);
        }
        matrix
    }
    fn impl_add(&self, rhs: &Self) -> Self {
        Self {
            M11: self.M11 + rhs.M11,
            M12: self.M12 + rhs.M12,
            M21: self.M21 + rhs.M21,
            M22: self.M22 + rhs.M22,
            M31: self.M31 + rhs.M31,
            M32: self.M32 + rhs.M32,
        }
    }
    fn impl_sub(&self, rhs: &Self) -> Self {
        Self {
            M11: self.M11 - rhs.M11,
            M12: self.M12 - rhs.M12,
            M21: self.M21 - rhs.M21,
            M22: self.M22 - rhs.M22,
            M31: self.M31 - rhs.M31,
            M32: self.M32 - rhs.M32,
        }
    }
    fn impl_mul(&self, rhs: &Self) -> Self {
        Self {
            M11: self.M11 * rhs.M11 + self.M12 * rhs.M21,
            M12: self.M11 * rhs.M12 + self.M12 * rhs.M22,
            M21: self.M21 * rhs.M11 + self.M22 * rhs.M21,
            M22: self.M21 * rhs.M12 + self.M22 * rhs.M22,
            M31: self.M31 * rhs.M11 + self.M32 * rhs.M21 + rhs.M31,
            M32: self.M31 * rhs.M12 + self.M32 * rhs.M22 + rhs.M32,
        }
    }
    fn impl_mul_f32(&self, rhs: f32) -> Self {
        Self { M11: self.M11 * rhs, M12: self.M12 * rhs, M21: self.M21 * rhs, M22: self.M22 * rhs, M31: self.M31 * rhs, M32: self.M32 * rhs }
    }
}

impl ::core::ops::Add<Matrix3x2> for Matrix3x2 {
    type Output = Matrix3x2;
    fn add(self, rhs: Matrix3x2) -> Matrix3x2 {
        self.impl_add(&rhs)
    }
}
impl ::core::ops::Add<&Matrix3x2> for Matrix3x2 {
    type Output = Matrix3x2;
    fn add(self, rhs: &Matrix3x2) -> Matrix3x2 {
        self.impl_add(rhs)
    }
}
impl ::core::ops::Add<Matrix3x2> for &Matrix3x2 {
    type Output = Matrix3x2;
    fn add(self, rhs: Matrix3x2) -> Matrix3x2 {
        self.impl_add(&rhs)
    }
}
impl ::core::ops::Add<&Matrix3x2> for &Matrix3x2 {
    type Output = Matrix3x2;
    fn add(self, rhs: &Matrix3x2) -> Matrix3x2 {
        self.impl_add(rhs)
    }
}
impl ::core::ops::Sub<Matrix3x2> for Matrix3x2 {
    type Output = Matrix3x2;
    fn sub(self, rhs: Matrix3x2) -> Matrix3x2 {
        self.impl_sub(&rhs)
    }
}
impl ::core::ops::Sub<&Matrix3x2> for Matrix3x2 {
    type Output = Matrix3x2;
    fn sub(self, rhs: &Matrix3x2) -> Matrix3x2 {
        self.impl_sub(rhs)
    }
}
impl ::core::ops::Sub<Matrix3x2> for &Matrix3x2 {
    type Output = Matrix3x2;
    fn sub(self, rhs: Matrix3x2) -> Matrix3x2 {
        self.impl_sub(&rhs)
    }
}
impl ::core::ops::Sub<&Matrix3x2> for &Matrix3x2 {
    type Output = Matrix3x2;
    fn sub(self, rhs: &Matrix3x2) -> Matrix3x2 {
        self.impl_sub(rhs)
    }
}
impl ::core::ops::Mul<Matrix3x2> for Matrix3x2 {
    type Output = Matrix3x2;
    fn mul(self, rhs: Matrix3x2) -> Matrix3x2 {
        self.impl_mul(&rhs)
    }
}
impl ::core::ops::Mul<&Matrix3x2> for Matrix3x2 {
    type Output = Matrix3x2;
    fn mul(self, rhs: &Matrix3x2) -> Matrix3x2 {
        self.impl_mul(rhs)
    }
}
impl ::core::ops::Mul<Matrix3x2> for &Matrix3x2 {
    type Output = Matrix3x2;
    fn mul(self, rhs: Matrix3x2) -> Matrix3x2 {
        self.impl_mul(&rhs)
    }
}
impl ::core::ops::Mul<&Matrix3x2> for &Matrix3x2 {
    type Output = Matrix3x2;
    fn mul(self, rhs: &Matrix3x2) -> Matrix3x2 {
        self.impl_mul(rhs)
    }
}
impl ::core::ops::Mul<f32> for Matrix3x2 {
    type Output = Matrix3x2;
    fn mul(self, rhs: f32) -> Matrix3x2 {
        self.impl_mul_f32(rhs)
    }
}
impl ::core::ops::Mul<f32> for &Matrix3x2 {
    type Output = Matrix3x2;
    fn mul(self, rhs: f32) -> Matrix3x2 {
        self.impl_mul_f32(rhs)
    }
}
